Perturbative and instanton corrections to the OPE of CPOs in N = 4 SYM(4)
Citation:
G. Arutyunov, S. Frolov and A. Petkou, Perturbative and instanton corrections to the OPE of CPOs in N = 4 SYM(4), Nuclear Physics B, 602, 2001, 238Download Item:
Abstract:
We study perturbative and instanton corrections to the Operator Product Expansion of
the lowest weight Chiral Primary Operators of N = 4 SYM4. We confirm the recently observed
non-renormalization of various operators (notably of the double-trace operator with
dimension 4 in the 20 irrep of SU(4)), that appear to be unprotected by unitarity restrictions.
We demonstrate the splitting of the free-field theory stress tensor and R-symmetry
current in supermultiplets acquiring different anomalous dimensions in perturbation theory
and argue that certain double-trace operators also undergo a perturbative splitting
into operators dual to string and two-particle gravity states respectively. The instanton
contributions affect only those double-trace operators that acquire finite anomalous dimensions
at strong coupling. For the leading operators of this kind, we show that the
ratio of their anomalous dimensions at strong coupling to the anomalous dimensions due
to instantons is the same number.
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http://people.tcd.ie/frolovsDescription:
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Author: FROLOV, SERGEY
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ElsevierType of material:
Journal ArticleSeries/Report no:
Nuclear Physics B;602;
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